电子学报2011，Vol.39Issue(7)：1556-1562,7.
基于结构张量图像建模方法的滤波性能研究
Research on Filtering Behavior of Structure Tensor Based Image Modeling Approaches
摘要
Abstract
This paper mainly focuses on the structure tensor based image modeling approaches, including partial differential equations (PDE) and variational functionals. A type of corner shock filter is designated based on measures of corner strength and the theory of level-set evolution to enhance the corner structures. The filtering behavior of structure tensor based anisotropic PDE's is subsequently analyzed based on the edge shock filter and our proposed corner shock filter. The analysis comes to the conclusion that,Weickert's anisotropic PDE corresponds to a kind of smoothing-enhancing, and corner-preserving filtering mechanism, while Tschumperi(e)' s trace-based PDE is the reduced version of Weickert' s PDE, corresponding to a kind of smoothing filtering scheme but not corner-preserving. With the above conclusion,conditions of comer- preservation are intuitively proposed for structure tensor based variational functionals. Finally,a kind of unified regularization PDE framework is proposed for different image applications. The filtering behavior on homogeneous regions,edge, and comer structures can be described by our unified framework more intuitively and efficiently. Experimental results on image magnification demonstrate the efficiency of the unified PDE framework.关键词
变分泛涵/偏微分方程/冲击滤波/结构张量/角点保持/图像插值Key words
variational functional/partial differential equation (PDE)/shock filtering/structure tensor/comer preserving/image interpolation分类
信息技术与安全科学引用本文复制引用
邵文泽,韦志辉..基于结构张量图像建模方法的滤波性能研究[J].电子学报,2011,39(7):1556-1562,7.基金项目
基金项目:国家863高技术研究发展计划(No.2007AA12Z142) （No.2007AA12Z142）
国家自然科学基金(No.60802039,No.60672074) （No.60802039,No.60672074）
教育部高等学校博士点基金(No.20070288050) （No.20070288050）
